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Finding the Fourth Proportional to 8,537.12, 12,731.20 and 7,593.20

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Solution

The fourth proportional to 8,537.12, 12,731.20 and 7,593.20 is: 11,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.12 : 12,731.20 = 7,593.20 : x
  2. Step 2: Convert to fraction form
    8,537.12/12,731.20 = 7,593.20/x
  3. Step 3: Cross multiply
    8,537.12x = 12,731.20 × 7,593.20
  4. Step 4: Simplify right side
    8,537.12x = 96,670,547.84
  5. Step 5: Solve for x
    x = 96,670,547.84/8,537.12
  6. Step 6: Final answer
    x = 11,323.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.